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87266831085 = 3457172297907
BaseRepresentation
bin101000101000110000…
…0100010101011101101
322100020202221100020000
41101101200202223231
52412210302043320
6104031223014513
76206360553030
oct1212140425355
9270222840200
1087266831085
113401193a905
1214ab559a439
1382c97c4375
14431bd13017
15240b443c90
hex1451822aed

87266831085 has 160 divisors (see below), whose sum is σ = 190148808960. Its totient is φ = 37378050048.

The previous prime is 87266831027. The next prime is 87266831137. The reversal of 87266831085 is 58013866278.

It is not a de Polignac number, because 87266831085 - 26 = 87266831021 is a prime.

It is a super-4 number, since 4×872668310854 (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11032702 + ... + 11040608.

It is an arithmetic number, because the mean of its divisors is an integer number (1188430056).

Almost surely, 287266831085 is an apocalyptic number.

87266831085 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

87266831085 is an abundant number, since it is smaller than the sum of its proper divisors (102881977875).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87266831085 is a wasteful number, since it uses less digits than its factorization.

87266831085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8177 (or 8168 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 87266831085 in words is "eighty-seven billion, two hundred sixty-six million, eight hundred thirty-one thousand, eighty-five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 51 63 81 85 105 119 135 153 189 229 255 315 357 405 459 567 595 687 765 945 1071 1145 1377 1603 1785 2061 2295 2835 3213 3435 3893 4809 5355 6183 6885 7907 8015 9639 10305 11679 14427 16065 18549 19465 23721 24045 27251 30915 35037 39535 43281 48195 55349 58395 71163 72135 81753 92745 105111 118605 129843 134419 136255 166047 175185 213489 216405 245259 276745 315333 355815 403257 408765 498141 525555 640467 649215 672095 735777 830235 940933 1067445 1209771 1226295 1494423 1576665 1810703 2016285 2207331 2490705 2822799 3202335 3629313 3678885 4483269 4704665 5432109 6048855 7472115 8468397 9053515 10887939 11036655 12674921 14113995 16296327 18146565 22416345 25405191 27160545 30781951 38024763 42341985 48888981 54439695 63374605 76215573 81481635 92345853 114074289 127025955 146666943 153909755 190123815 215473657 244444905 277037559 342222867 381077865 461729265 570371445 646420971 733334715 831112677 1026668601 1077368285 1385187795 1711114335 1939262913 2493338031 3232104855 4155563385 5133343005 5817788739 9696314565 12466690155 17453366217 29088943695 87266831085